Q. Which ordered pair is a solution of the equation?4x−1=3y+5Choose 1 answer:(A) Only (3,2)(B) Only (2,3)(C) Both (3,2) and (2,3)(D) Neither
Problem Understanding: Understand the problem.We need to determine which ordered pair (x,y) satisfies the equation 4x−1=3y+5.
Substituting (3,2): Substitute the x and y values from option (A) into the equation.For the ordered pair (3,2), substitute x=3 and y=2 into the equation and check if both sides are equal.4(3)−1=3(2)+512−1=6+511=11The equation is balanced, so (3,2) is a solution.
Substituting 2,3: Substitute the x and y values from option (B) into the equation.For the ordered pair 2,3, substitute x=2 and y=3 into the equation and check if both sides are equal.4(2)−1=3(3)+58−1=9+57=14The equation is not balanced, so 2,3 is not a solution.
Determining the Correct Answer: Determine the correct answer based on the previous steps.Since (3,2) is a solution and (2,3) is not, the correct answer is option (A) Only (3,2).
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